8
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 8 • Common Core Algebra I B-IC

Factor x3 – 4x2 + 7x – 28 by grouping. What is the resulting expression?

Answer
A
(x2 – 4)(x + 7)
B
(x2 + 4)(x – 7)
C
(x2 – 7)(x + 4)
D
(x2 + 7)(x – 4)

Explanation

Group the first two terms and the last two terms: x³ − 4x² + 7x − 28 = x²(x − 4) + 7(x − 4). Both groups share the factor (x − 4), so factoring it out gives (x² + 7)(x − 4), choice D.

AI-written and checked against the verified answer.

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